Spin Glasses and Complexity

Spin Glasses and Complexity PDF Author: Daniel L. Stein
Publisher: Princeton University Press
ISBN: 1400845637
Category : Science
Languages : en
Pages : 336

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Book Description
Spin glasses are disordered magnetic systems that have led to the development of mathematical tools with an array of real-world applications, from airline scheduling to neural networks. Spin Glasses and Complexity offers the most concise, engaging, and accessible introduction to the subject, fully explaining what spin glasses are, why they are important, and how they are opening up new ways of thinking about complexity. This one-of-a-kind guide to spin glasses begins by explaining the fundamentals of order and symmetry in condensed matter physics and how spin glasses fit into--and modify--this framework. It then explores how spin-glass concepts and ideas have found applications in areas as diverse as computational complexity, biological and artificial neural networks, protein folding, immune response maturation, combinatorial optimization, and social network modeling. Providing an essential overview of the history, science, and growing significance of this exciting field, Spin Glasses and Complexity also features a forward-looking discussion of what spin glasses may teach us in the future about complex systems. This is a must-have book for students and practitioners in the natural and social sciences, with new material even for the experts.

Spin Glasses and Complexity

Spin Glasses and Complexity PDF Author: Daniel L. Stein
Publisher: Princeton University Press
ISBN: 1400845637
Category : Science
Languages : en
Pages : 336

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Book Description
Spin glasses are disordered magnetic systems that have led to the development of mathematical tools with an array of real-world applications, from airline scheduling to neural networks. Spin Glasses and Complexity offers the most concise, engaging, and accessible introduction to the subject, fully explaining what spin glasses are, why they are important, and how they are opening up new ways of thinking about complexity. This one-of-a-kind guide to spin glasses begins by explaining the fundamentals of order and symmetry in condensed matter physics and how spin glasses fit into--and modify--this framework. It then explores how spin-glass concepts and ideas have found applications in areas as diverse as computational complexity, biological and artificial neural networks, protein folding, immune response maturation, combinatorial optimization, and social network modeling. Providing an essential overview of the history, science, and growing significance of this exciting field, Spin Glasses and Complexity also features a forward-looking discussion of what spin glasses may teach us in the future about complex systems. This is a must-have book for students and practitioners in the natural and social sciences, with new material even for the experts.

Spin Glasses and Related Problems

Spin Glasses and Related Problems PDF Author: V. S. Dotsenko
Publisher: CRC Press
ISBN: 9783718650392
Category : Science
Languages : en
Pages : 266

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Book Description
Three scientists from the L.D. Landau Institute of Theoretical Physics, Moscow, review recent developments in the theory of spin glasses and related strongly disordered systems. They discuss in particular the problems of irreversibility and nonergodicity in the framework of the mean field theory, a phase transition in three- dimensional spin glasses, and glass-like systems with hidden correlations. Addressed to researchers in theoretical physics. Book club price $59. Annotation copyrighted by Book News, Inc., Portland, OR

Spin Glasses

Spin Glasses PDF Author: K. H. Fischer
Publisher: Cambridge University Press
ISBN: 9780521447775
Category : Science
Languages : en
Pages : 404

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Book Description
A comprehensive account of the theory, experimental work and computer modelling of spin glasses.

Perspectives on Spin Glasses

Perspectives on Spin Glasses PDF Author: Pierluigi Contucci
Publisher: Cambridge University Press
ISBN: 0521763347
Category : Science
Languages : en
Pages : 219

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Book Description
Presenting and developing the theory of spin glasses for mathematical physicists and probabilists working in disordered systems.

Statistical Physics of Spin Glasses and Information Processing

Statistical Physics of Spin Glasses and Information Processing PDF Author: Hidetoshi Nishimori
Publisher: Clarendon Press
ISBN: 9780198509400
Category : Computers
Languages : en
Pages : 264

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Book Description
This superb new book is one of the first publications in recent years to provide a broad overview of this interdisciplinary field. Most of the book is written in a self contained manner, assuming only a general knowledge of statistical mechanics and basic probabilty theory . It provides the reader with a sound introduction to the field and to the analytical techniques necessary to follow its most recent developments

Spin Glasses And Biology

Spin Glasses And Biology PDF Author: Daniel L Stein
Publisher: World Scientific
ISBN: 9814507776
Category : Science
Languages : en
Pages : 277

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Book Description
This volume is an introduction to the application of techniques developed for the study of disordered systems to problems which arise in biology. Topics presented include neural networks, adaptation and evolution, maturation of the immune response, and protein dynamics and folding. This book will appeal to students and researchers interested in statistical and condensed matter physics, glasses and spin glasses, and biophysics.

An Introduction To The Theory Of Spin Glasses And Neural Networks

An Introduction To The Theory Of Spin Glasses And Neural Networks PDF Author: V Dotsenko
Publisher: World Scientific
ISBN: 9814501654
Category : Science
Languages : en
Pages : 166

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Book Description
This book aims to describe in simple terms the new area of statistical mechanics known as spin-glasses, encompassing systems in which quenched disorder is the dominant factor. The book begins with a non-mathematical explanation of the problem, and the modern understanding of the physics of the spin-glass state is formulated in general terms. Next, the 'magic' of the replica symmetry breaking scheme is demonstrated and the physics behind it discussed. Recent experiments on real spin-glass materials are briefly described to demonstrate how this somewhat abstract physics can be studied in the laboratory. The final chapters of the book are devoted to statistical models of neural networks.The material here is self-contained and should be accessible to students with a basic knowledge of theoretical physics and statistical mechanics. It has been used for a one-term graduate lecture course at the Landau Institute for Theoretical Physics.

Spin Glass Theory And Beyond: An Introduction To The Replica Method And Its Applications

Spin Glass Theory And Beyond: An Introduction To The Replica Method And Its Applications PDF Author: Marc Mezard
Publisher: World Scientific Publishing Company
ISBN: 9813103914
Category : Science
Languages : en
Pages : 477

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Book Description
This book contains a detailed and self-contained presentation of the replica theory of infinite range spin glasses. The authors also explain recent theoretical developments, paying particular attention to new applications in the study of optimization theory and neural networks. About two-thirds of the book are a collection of the most interesting and pedagogical articles on the subject.

Spin Glasses and Random Fields

Spin Glasses and Random Fields PDF Author: A. Peter Young
Publisher: World Scientific
ISBN: 9810232403
Category : Science
Languages : en
Pages : 454

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Book Description
The last few years have seen many developments in the study of ?frustrated? systems, such as spin glasses and random fields. In addition, the application of the idea of spin glasses to other branches of physics, such as vortex lines in high temperature superconductors, protein folding, structural glasses, and the vulcanization of rubber, has been flourishing. The earlier reviews are several years old, so now is an appropriate time to summarize the recent developments. The articles in this book have been written by leading researchers and include theoretical and experimental studies, and large-scale numerical work (using state-of-the-art algorithms designed specifically for spin-glass-type problems), as well as analytical studies.

The Sherrington-Kirkpatrick Model

The Sherrington-Kirkpatrick Model PDF Author: Dmitry Panchenko
Publisher: Springer Science & Business Media
ISBN: 1461462894
Category : Mathematics
Languages : en
Pages : 164

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Book Description
The celebrated Parisi solution of the Sherrington-Kirkpatrick model for spin glasses is one of the most important achievements in the field of disordered systems. Over the last three decades, through the efforts of theoretical physicists and mathematicians, the essential aspects of the Parisi solution were clarified and proved mathematically. The core ideas of the theory that emerged are the subject of this book, including the recent solution of the Parisi ultrametricity conjecture and a conceptually simple proof of the Parisi formula for the free energy. The treatment is self-contained and should be accessible to graduate students with a background in probability theory, with no prior knowledge of spin glasses. The methods involved in the analysis of the Sherrington-Kirkpatrick model also serve as a good illustration of such classical topics in probability as the Gaussian interpolation and concentration of measure, Poisson processes, and representation results for exchangeable arrays.